Composition Operators with Monomial Symbol Acting on Weighted Hardy Spaces
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DOI: 10.1007/s00009-017-1040-5
Abstract: Let $$C_{\varphi }$$Cφ be the composition operator with monomial symbol $$\varphi (z)=z^m$$φ(z)=zm, $$z\in \mathbb {D}$$z∈D, for some positive integer m. In this article, we investigate the point spectrum, spectrum, and essential spectrum of the operators… read more here.
Keywords: monomial symbol; weighted hardy; hardy spaces; varphi ... See more keywords
Statistics of inflating regions in eternal inflation
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DOI: 10.1103/physrevd.100.023513
Abstract: We compute the distribution of sizes of inflating regions (surrounded by non inflating ones) in an eternally inflating Universe. As a first illustrative problem, we study a simple scenario of an eternally inflating Universe in… read more here.
Keywords: varphi; field; varphi varphi; inflating regions ... See more keywords